Converting 82.6384 to a Fraction
Step-by-step explanation of how to convert 82.6384 to a fraction

Result

82.6384 =
51649
625
Mixed number:
82
399
625

Step 1: Identify the number of decimal places

The decimal 82.6384 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

82.6384 × 10000 = 826384

Step 3: Write as a fraction

82.6384 =

826384
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 826384 and 10000.

GCD(826384, 10000) = 16

Divide both the numerator and denominator by the GCD:

826384
10000

=

826384 ÷ 16
10000 ÷ 16

=

51649
625
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